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Finding the Third Proportional to 158,022 and 334,635

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Solution

The third proportional to 158,022 and 334,635 is: 708,639.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    158,022 : 334,635 = 334,635 : x
  2. Step 2: Convert to fraction form
    158,022/334,635 = 334,635/x
  3. Step 3: Cross multiply
    158,022x = 334,635 × 334,635
  4. Step 4: Simplify right side
    158,022x = 111,980,583,225
  5. Step 5: Solve for x
    x = 111,980,583,225/158,022
  6. Step 6: Final answer
    x = 708,639.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.